Comparison of Waldhausen constructions
Algebraic Topology
2021-07-14 v2 Category Theory
K-Theory and Homology
Abstract
In previous work, we develop a generalized Waldhausen -construction whose input is an augmented stable double Segal space and whose output is a unital 2-Segal space. Here, we prove that this construction recovers the previously known -constructions for exact categories and for stable and exact -categories, as well as the relative -construction for exact functors.
Keywords
Cite
@article{arxiv.1901.03606,
title = {Comparison of Waldhausen constructions},
author = {Julia E. Bergner and Angélica M. Osorno and Viktoriya Ozornova and Martina Rovelli and Claudia I. Scheimbauer},
journal= {arXiv preprint arXiv:1901.03606},
year = {2021}
}